A. Languasco

collaborators

3 papers

math.NT2024

The Brauer-Siegel ratio for prime cyclotomic fields

Neelam Kandhil, Alessandro Languasco, Pieter Moree

The Brauer-Siegel theorem concerns the size of the product of the class number and the regulator of a number field $K$ . We derive bounds for this product in case $K$ is a prime cyc…

math.NT2024

Relative class numbers and Euler-Kronecker constants of maximal real cyclotomic subfields

Neelam Kandhil, Alessandro Languasco, Pieter Moree +2

The Euler--Kronecker constant of a number field $K$ is the ratio of the constant and the residue of the Laurent series of the Dedekind zeta function $I^¶_{K} (s)$ at $s = 1$ . We study th…

math.NT2024

Euler constants from primes in arithmetic progression

Alessandro Languasco, Pieter Moree

Many Dirichlet series of number theoretic interest can be written as a product of generating series $I^¶_{d, a} (s) = p \equiv a (mod d) \prod (1 - p^{- s})^{- 1}$ , with $p$ rangin…